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Finding the Fourth Proportional to 9,269.75, 13,900.47 and 5,523.29

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Solution

The fourth proportional to 9,269.75, 13,900.47 and 5,523.29 is: 8,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.75 : 13,900.47 = 5,523.29 : x
  2. Step 2: Convert to fraction form
    9,269.75/13,900.47 = 5,523.29/x
  3. Step 3: Cross multiply
    9,269.75x = 13,900.47 × 5,523.29
  4. Step 4: Simplify right side
    9,269.75x = 76,776,382.58
  5. Step 5: Solve for x
    x = 76,776,382.58/9,269.75
  6. Step 6: Final answer
    x = 8,282.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.